Find the most general antiderivative of the function f(x) = x^2 - 9x + 7. (Check the answer by...

Question:

Find the most general antiderivative of the function {eq}f(x) = x^2 - 9x + 7 {/eq}.

(Check the answer by differentiation. Use {eq}C {/eq} for the constant of the antiderivative.)

Finding the Antiderivative of a Function:

To find the antiderivative of a polynomial function we can take the antiderivative of each term separately. It is important to remember that when taking the antiderivative a constant {eq}C{/eq} will be part of the solution. To check, we can find the derivative of our solution to make sure that we get back to our original function.